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Old 09-22-2008   #26 (permalink)
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Smile Re: Is This Axiom Set Consistent?

Quote:
Originally Posted by Shubee
I prefer the view of science as given in David Hilbert's philosophy of physics …
Quote:
Originally Posted by CraigD View Post
There is a critical flaw with this approach: Hilbert’s approach to math, and by extension, physical science, generally known as formalism, ...
CraigD,

Your argument here is incorrect. It's true that Hilbert's original ideas on formalism were overly ambitious. But even the Wikipedia article you cite says, "Much of Hilbert's program can be salvaged by changing its goals slightly." Also, it's widely recognized by mathematicians that Hilbert's intellectual achievements on the foundations of mathematics were revolutionary. More to the point, there is simply no significant connection between David Hilbert's Philosophy of Physics and Hilbert's efforts to prove the consistency of mathematics.
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